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Finding the Fourth Proportional to 23,877.16, 35,813.96 and 9,646.62

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Solution

The fourth proportional to 23,877.16, 35,813.96 and 9,646.62 is: 14,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.16 : 35,813.96 = 9,646.62 : x
  2. Step 2: Convert to fraction form
    23,877.16/35,813.96 = 9,646.62/x
  3. Step 3: Cross multiply
    23,877.16x = 35,813.96 × 9,646.62
  4. Step 4: Simplify right side
    23,877.16x = 345,483,662.82
  5. Step 5: Solve for x
    x = 345,483,662.82/23,877.16
  6. Step 6: Final answer
    x = 14,469.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.